Commutative Algebra
University of Gothenburg
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Pace of study: 50 %
Published education catalogue
Commutative Algebra
Education information from the published source. The education record and its time-bound offerings are kept separate.
Education facts
Code: MMA330
<p>In this course you will study structural theorems for commutative rings, with applications in algebraic geometry, algebraic number theory, and complex analysis. To construct and study new commutative rings from known ones, you will look at polynomials, fractions, and congruences. We introduce a concept of dimension for commutative rings and relate it to the transcendence degree of extension fields. Finally, you will study Dedekind rings and (if we have time) p-adic numbers. The course is one of the first you will take as a graduate student in mathematics.</p>
Entry requirements
Knowledge equivalent to 90 credits in mathematics, including the course MMG500 Algebraic Structures.
Education offerings
Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.
Source and updates
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Last changed according to the source: 2024-09-06T12:55:17